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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 929 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  2. 2.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  4. 4.Two trains, 180 m and 180 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  5. 5.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  8. 8.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  10. 10.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  11. 11.Two trains, 160 m and 80 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  12. 12.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 70 km upstream and come back?
  13. 13.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  14. 14.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  15. 15.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  16. 16.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  17. 17.A boat goes 80 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  20. 20.Two trains, 200 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  21. 21.Two trains, 160 m and 155 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  22. 22.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  27. 27.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  29. 29.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  30. 30.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 130 m and 70 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  32. 32.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 160 m and 65 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  36. 36.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  38. 38.A boat goes 69 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 150
  2. 10
  3. 16
  4. 9
  5. 21
  6. 16
  7. 120
  8. 26
  9. 16
  10. 100
  11. 8
  12. 24
  13. 42
  14. 34
  15. 24
  16. 30
  17. 15
  18. 2
  19. 330
  20. 9
  21. 9
  22. 28
  23. 1
  24. 6
  25. 30
  26. 325
  27. 9
  28. 19
  29. 18
  30. 25
  31. 5
  32. 15
  33. 12
  34. 9
  35. 9
  36. 2
  37. 26
  38. 19
  39. 1
  40. 16

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